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21518064 = 2432237389
BaseRepresentation
bin101001000010…
…1011011110000
31111111020020100
41102011123300
521002034224
62045112400
7350620611
oct122053360
944436210
1021518064
1111167927
127258700
1345c53a9
142c01c08
151d50ac9
hex14856f0

21518064 has 120 divisors (see below), whose sum is σ = 64415520. Its totient is φ = 6690816.

The previous prime is 21518059. The next prime is 21518083. The reversal of 21518064 is 46081512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241732 + ... + 241820.

It is an arithmetic number, because the mean of its divisors is an integer number (536796).

Almost surely, 221518064 is an apocalyptic number.

21518064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32207760).

21518064 is an abundant number, since it is smaller than the sum of its proper divisors (42897456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21518064 is a wasteful number, since it uses less digits than its factorization.

21518064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21518064 is about 4638.7567299870. The cubic root of 21518064 is about 278.1427419394.

Adding to 21518064 its reverse (46081512), we get a palindrome (67599576).

The spelling of 21518064 in words is "twenty-one million, five hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 73 89 92 138 144 146 178 184 207 219 267 276 292 356 368 414 438 534 552 584 657 712 801 828 876 1068 1104 1168 1314 1424 1602 1656 1679 1752 2047 2136 2628 3204 3312 3358 3504 4094 4272 5037 5256 6141 6408 6497 6716 8188 10074 10512 12282 12816 12994 13432 15111 16376 18423 19491 20148 24564 25988 26864 30222 32752 36846 38982 40296 49128 51976 58473 60444 73692 77964 80592 98256 103952 116946 120888 147384 149431 155928 233892 241776 294768 298862 311856 448293 467784 597724 896586 935568 1195448 1344879 1793172 2390896 2689758 3586344 5379516 7172688 10759032 21518064